Starting from a state of rest with an acceleration of 6 m / s2, the body reached a speed of 36 m / s and

Starting from a state of rest with an acceleration of 6 m / s2, the body reached a speed of 36 m / s and, continuing to move, stopped after 5 s. What path has the body traveled during the entire movement?

S = S1 + S2.

Section S1:
S1 = (V² – V0²) / 2a, where V is the final speed of the body (V = 36 m / s), V0 is the initial speed (movement from rest, V0 = 0 m / s), and is the acceleration of the body (a = 6 m / s2).
S1 = 362 / (2 * 6) = 108 m.

Plot S2:
a = (V – V0) / t = V0 / t, where V is the final velocity of the body (V = 0), V0 is the initial velocity of the body (V0 = 36 m / s), t is the time of movement (t = 5 s) …
a = (0 – 36) / 5 = -7.2 m / s2.
S2 = (0 – 36²) / (2 * (-7.2)) = 90 m.
S = 108 + 90 = 198 m.